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A linear algorithm for edge-coloring partial k-trees
1993Many combinatorial problems can be efficiently solved for partial k-trees. The edge-coloring problem is one of a few combinatorial problems for which no linear-time algorithm has been obtained for partial k-trees. The best known algorithm solves the problem for partial k-trees G in time \(O\left( {n\Delta ^{2^{2\left( {k + 1} \right)} } } \right ...
Shin-ichi Nakano+2 more
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Algorithms for finding f-colorings of partial k-trees
1995In an ordinary edge-coloring of a graph G=(V, E) each color appears at each vertex v ∈ V at most once. An f-coloring is a generalized edge-coloring in which each color appears at each vertex v ∈ V at most f(v) times, where f(v) is a positive integer assigned to v.
Takao Nishizeki, Xiao Zhou
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The Edge-Disjoint Paths Problem is NP-Complete for Partial k-Trees
1998Many combinatorial problems are NP-complete for general graphs, but are not NP-complete for partial k-trees (graphs of treewidth bounded by a constant k) and can be efficiently solved in polynomial time or mostly in linear time for partial k-trees.
Takao Nishizeki, Xiao Zhou
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A Linear Algorithm for Finding \boldmath[{ g,f }]-Colorings of Partial \boldmath{ k }-Trees
K. Fuse, Xiao Zhou, T. Nishizeki
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Faster Algorithms for Subgraph Isomorphism of \sl k -Connected Partial \sl k -Trees
Anders Dessmark+2 more
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Linear-Time Algorithms for Partial \boldmath k -Tree Complements
Arvind Gupta+2 more
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On the Complexity of the Maximum Common Subgraph Problem for Partial k-Trees of Bounded Degree
Tatsuya Akutsu, Takeyuki Tamura
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Random Partial Match in Quad-K-d Trees
Amalia Duch, G Lau, Conrado Martı́nez
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